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Finding the Fourth Proportional to 197.14, 272.04 and 108.62

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Solution

The fourth proportional to 197.14, 272.04 and 108.62 is: 149.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.14 : 272.04 = 108.62 : x
  2. Step 2: Convert to fraction form
    197.14/272.04 = 108.62/x
  3. Step 3: Cross multiply
    197.14x = 272.04 × 108.62
  4. Step 4: Simplify right side
    197.14x = 29,549.23
  5. Step 5: Solve for x
    x = 29,549.23/197.14
  6. Step 6: Final answer
    x = 149.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.